1216741626240 has 512 divisors, whose sum is σ = 4760968320000. Its totient is φ = 263472168960.

The previous prime is 1216741626239. The next prime is 1216741626421. The reversal of 1216741626240 is 426261476121.

It is a super-3 number, since 3×1216741626240³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1216741626192 and 1216741626201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12464020 + ... + 12561260.

It is an arithmetic number, because the mean of its divisors is an integer number (9298766250).

Almost surely, 2^{1216741626240} is an apocalyptic number.

1216741626240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216741626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380484160000).

1216741626240 is an abundant number, since it is smaller than the sum of its proper divisors (3544226693760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1216741626240 is an equidigital number, since it uses as much as digits as its factorization.

1216741626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97303 (or 97277 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 1216741626240 in words is "one trillion, two hundred sixteen billion, seven hundred forty-one million, six hundred twenty-six thousand, two hundred forty".